Heretofore, the dynamic behavior of spin chains under decoherence has been particularly studied [1]}, [2]}, [3]}. Maziero et.al. investigated rigorously the dynamics of quantum and classical correlations under decoherence and carried out some interesting outcomes: classical correlation remains constant over time and quantum correlation decays monotonically over time [2]}. During last decade, similar tasks has been made to understand defect production due to the dynamics of a spin model through a critical point [5]}, [6]}, [7]}.
